HOMEWORK ASSIGNMENTS For MATH 251 Sections 22,23,24 (Rutgers Univ. (NB), Fall 2020)

Last Update: Dec. 1, 2020

Thanks: Zixin Qu

All section numbers refer to Jon Rogawski's and Colin Adams's Calculus, 3rd ed. (Freeman, Custom edition for Rutgers University)
Important Advice: Homework should be attempted as soon as possible after the topic was covered in class.

scan of Answers to exercises

The Homework is going to be inspected, by Dr. Z. I don't have a grader, so am unable to give you detailed feedback, but I will check that you did your best. If you have any questions, ask by email, or during office hours.

The homework should be sent by 10:00pm, Sunday night to

DrZcalc3@gmail.com

with

Subject: HomeworkDueDate

and an attachment (either .txt [slightly prefered] using COMPUTEREZE, or .pdf (scanned handwriting). called

FirstNameLastNameDueDate.txt, OR, FirstNameLastNameDueDate.pdf

For example, the first homework assignment is due Sept. 13, and assuming your name is Issac Newton, then before Sept. 13, 2020, 10:00pm (Rutgers time) you email

DrZcalc3@gmail.com

with

Subject: HomeworkDueSept13

and an attachment

IsaacNewtonSept13.txt [Or IsaacNewtonSept13.pdf]

• Chapter 12:
  • 12.1  :   5, 7, 9, 11, 15, 21, 41, 47 (due: 9/13)
  • 12.2  :   11, 13, 19, 25, 27, 31, 49, 51. (due: 9/13)
  • 12.3  :   1, 13, 21, 29, 31, 57, 63 (due: 9/20)
  • 12.4  :   1, 5, 13, 21, 25, 27, 39, 41, 43, 45 (due: 9/20)
  • 12.5  :   1, 5, 9, 11, 13, 15, 17, 19, 25, 31, 53 (due: 9/20)

  scan of Chapter 12 exercises

• Chapter 13:
  • 13.1  :   5, 17 (due: 9/20)
  • 13.2  :   3, 5, 7, 15, 31, 33, 41, 49 (due: 9/20)
  • 13.3  :   3, 9, 11, 13, 15 (due: 9/27 )
  • 13.4  :   1, 5, 7, 11, 17, 21 (due: 9/27 )
  • 13.5  :   3, 5, 15, 17, 31(due: 9/27 )

  scan of Chapter 13 exercises

• Chapter 14:
  • 14.1  :   1, 3, 7, 21, 23, 33, 35, 37 [Note: Quesion 37 is optional]   (9/27 )
  • 14.2  :   9, 11, 15, 21, 23, 27, 31, 35 (due: 9 /27
  • 14.3  :   3, 5, 17, 19, 21, 27, 31, 39, 47 (due: 10/4 )
  • 14.4  :   3, 5, 7, 13, 15, 17, 23, 25, 27 (due: 10/4 )
  • 14.5  :   7, 11, 13, 19, 27, 31, 33, 37, 39, 41, 43 (due: 10/4 )
  • 14.6  :   1, 3, 5, 7, 15, 17 (question 17 is optional), 23, 27, 29, 31 (due: 10/11)
    Zixin Qu pointed out that the answer to #23 in the book is wrong (it is the answer to #25) #23 is a "show" question that has no specific answer
    
  • 14.7  :   1, 3, 5, 7, 11, 13, 19, 21, 23, 29, 35 (due: 10/11)
  • 14.8  :   5, 7, 9, 11, 13, 15 (due: 10/18)

  ALSO DUE 10/18: Maple Lab 1

  scan of Chapter 14 exercises

• Chapter 15:
  • 15.1  :   9, 15, 21, 23, 25, 31, 33, 35, 37, 41 (due: 10/25)
  • 15.2  :   3, 5, 6, 7, 11, 19, 21, 25, 31, 33, 35, 37, 43, 49 (due: 10/25)
  • 15.3  :   3, 5, 7, 9, 11, 13, 15, 17 (due: 11/1)
  • 15.4  :   1, 5, 9, 19, 27, 31, 47, 51 (due: 11/1)
    
  • 15.6  :   1, 3, 13, 15,17,19 23 (due: 11/8 )
    Shubin Xie noticed that the answer to (1)(b) in the book has a typo: (10,2) should be (10,12)

  scan of Chapter 15 exercises

• Chapter 16:
  • 16.1  :   1, 3, 5, 7, 9, 11, 17, 23, 25, 27 (due: 11/8 )
    Shubin Xie noticed that the answer to (25)(b) in the book has a typo: in the second component of curl(F), 2x² should be -2x²
  • 16.2  :   3, 9, 11, 13, 17, 27, 29, 31, 35 (due: 11/15)
  • 16.3  :   1, 3, 5, 9, 13, 15, 17, 19, (due: 11/15)
  • 16.4  :   7, 13, 15, 19 (due: 11/22)
  • 16.5  :   5, 7, 9, 11 (due: 11/22)

  scan of Chapters 16 and 17 exercises

• Chapter 17:
  • 17.1  :   1, 3, 5, 7, 9, 13 (due: 12/6)
    Hint for #13: The integral over the non-closed path ABCD=The integral over the closed path ABCDA - the integral over the line segment DA. For the first use Greene, for the second do it directly (dx=0 along the y-axis, and x=0, so you get a very simple y-integral.
    
  • 17.2  :   1, 3, 5, 9, 11, 13 (due: 12/6 )
    Hints:#9: since curl(F) is the zero vector, the surface is irrelevant. #11: You need to use the formula for the vector-field surface integral from handout 16.5, the sufrace is z=2, and the projection to the xy-plane is the disc center origin, radius 3. #13: Use the method of chapter 12 to find the equation of the plane through these three points, express it in explicit form, to get the equation of the surface. The projection of this surface on the xy-plane is the triangle whose vertices are (0,0),(3,0),(3,3)

  • 17.3  :   1, 3, 5, 7, 11, 15 (due: 12/13)
    For #1, #3 only do the volume integrals. We did not learn how to do vector-field surface integrals for general surfaces, only for sufraces given in explicit format (of course, you are welcome do look it up, but it is optional)

  scan of Chapters 16 and 17 exercises